Algorithm 786 swMATH ID: 4671 Software Authors: Smith, David M. Description: Algorithm 786: Multiple-precision complex arithmetic and functions. This article describes a collection of Fortran routines for multiple-precision complex arithmetic and elementary functions. The packing provides good exception handling, flexible input and output, trace features, and results that are almost always correctly rounded. For best efficiency on different machines, the user can change the arithmetic type used to represent the multiple-precision numbers. Homepage: http://dl.acm.org/citation.cfm?id=293686.293687 Programming Languages: Fortran Keywords: elementary function approximation; algorithm analysis; efficiency; performance; accuracy; complex arithmetic; floating point; function evaluation; mathematical library; multiple precision; portable software Related Software: MPFR; Algorithm 693; gmp; Algorithm 524; Algorithm 719; Mathematica; CFSF; Algorithm 644; OEIS; DLMF; SPECFUN; Algorithm 814; Algorithm 713; mpcheck; Algorithm 272; LLRANDOM; Algorithm 304; Algorithm 542; Algorithm 236; FNLIB Cited in: 12 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Algorithm 786: Multiple-precision complex arithmetic and functions. Zbl 0934.65023Smith, David M. 1998 all top 5 Cited by 15 Authors 3 Smith, David M. 2 Petković, Miodrag S. 1 Backeljauw, Franky 1 Becuwe, Stefan 1 Beebe, Nelson H. F. 1 Cuyt, Annie A. M. 1 Ercegovac, Milos D. 1 Fabijonas, Bruce R. 1 Kormanyos, Christopher 1 Malasoma, Jean-Marc 1 Milošević, Dušan M. 1 Muller, Jean-Michel 1 Olver, Frank William John 1 Petković, Ivan M. 1 Pullan, Wayne all top 5 Cited in 7 Serials 4 ACM Transactions on Mathematical Software 1 Chaos, Solitons and Fractals 1 Journal of Computational and Applied Mathematics 1 International Journal of Computer Mathematics 1 SIAM Review 1 Journal of Combinatorial Optimization 1 Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology all top 5 Cited in 10 Fields 9 Numerical analysis (65-XX) 4 Special functions (33-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year